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Finding the Fourth Proportional to 564.24, 845.76 and 275.28

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Solution

The fourth proportional to 564.24, 845.76 and 275.28 is: 412.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.24 : 845.76 = 275.28 : x
  2. Step 2: Convert to fraction form
    564.24/845.76 = 275.28/x
  3. Step 3: Cross multiply
    564.24x = 845.76 × 275.28
  4. Step 4: Simplify right side
    564.24x = 232,820.81
  5. Step 5: Solve for x
    x = 232,820.81/564.24
  6. Step 6: Final answer
    x = 412.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.